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The phrase "arrive at a higher" is correct and usable in written English.
It can be used when discussing reaching a greater level, standard, or position in various contexts, such as personal development, academic achievement, or professional growth.
Example: "Through hard work and dedication, she was able to arrive at a higher level of understanding in her studies."
Alternatives: "reach a higher" or "attain a higher".
Exact(6)
Although tritium self-sufficiency was shown, the tritium breeding performance of the current design calls for further design improvements to arrive at a higher uncertainty margin.
That could punish community colleges, which generally accept any student who applies, and reward big research institutions, whose students arrive at a higher level.
Since "The Karate Kid" was apparently not lost on the film makers, Leroy is first seen with his elderly Oriental karate instructor who is helping him to arrive at a higher spiritual plane.
R. oryzae was able to utilize pretreated dairy manure to produce l- lactic acid and the highest concentration and yield were 1210.02 mg L−1 and 40.09% at pH 10, respectively, when ethanol as main byproducts was at a lowest level (74.64 mg L−1), whereas at acidic condition the concentration of ethanol could arrive at a higher level (648.15 mg L−1).
In other words, you can go beyond the divided self and all its problems to arrive at a higher state of awareness, whether you call it enlightened or nondual or the state of oneness.
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Similar(54)
He comes from non-league but for him it is not too late to arrive at a high, high level.
(2) The hybrid optimization approach can solve the approximate problem effectively, and the shooting iteration used to arrive at a high-precision solution converges steadily and rapidly.
When new records arrive at a high rate, it is infeasible to continuously update (maintain) MVs and a common solution is to defer maintenance by batching updates together.
The magic's gone, when as soon as you arrive at a high street, and you know already you're doing yourself down".
"Jamie is just starting his career now," says Ranieri. "He comes from non-league but for him it is not too late to arrive at a high, high level.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com